x = # of students per bus

y = # of students per van

14 x+ 12y = 556

14x + y = 457

subtracting the equations, x cancels out

11y = 99

y=9

van holds 9 students

bus holds x = (457 - 9)/14 = 32

Sasha F.

asked • 05/13/20**The senior classes at High School A and High School B planned separate trips to the water park. The senior class at High School A rented and filled 12 vans and 14 buses with 556 students. High School B rented and filled 1 van and 14 buses with 457 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry? **

**We need to find out what x and y represents and the system of equations.**

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x = # of students per bus

y = # of students per van

14 x+ 12y = 556

14x + y = 457

subtracting the equations, x cancels out

11y = 99

y=9

van holds 9 students

bus holds x = (457 - 9)/14 = 32

Yara B. answered • 05/15/20

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